Intervals in subgroup lattices of countable locally finite groups

被引：5

作者：

Repnitskii, Vladimir ^{[1
]}

Tuma, Jiri ^{[2
]}

机构：

[1] Ural State Univ, Dept Math & Mech, Ekaterinburg 620083, Russia

[2] Charles Univ Prague, Fac Math & Phys, Dept Algebra, Prague 18600 8, Czech Republic

来源：

ALGEBRA UNIVERSALIS | 2008年 / 59卷 / 1-2期

关键词：

locally finite group; subgroup lattice; adjoint mappings; group valuation;

D O I：

10.1007/s00012-008-2045-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every algebraic lattice with at most countably many compact elements is isomorphic to an interval in the subgroup lattice of a countable locally finite group.

引用

页码：49 / 71

页数：23

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